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Finding the Fourth Proportional to 6,867.36, 10,301.04 and 3,168.50

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Solution

The fourth proportional to 6,867.36, 10,301.04 and 3,168.50 is: 4,752.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867.36 : 10,301.04 = 3,168.50 : x
  2. Step 2: Convert to fraction form
    6,867.36/10,301.04 = 3,168.50/x
  3. Step 3: Cross multiply
    6,867.36x = 10,301.04 × 3,168.50
  4. Step 4: Simplify right side
    6,867.36x = 32,638,845.24
  5. Step 5: Solve for x
    x = 32,638,845.24/6,867.36
  6. Step 6: Final answer
    x = 4,752.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.